Question

Marsha and Tian are making table decorations for a party. Marsha made 2/9 of a decoration in half and hour. Tian made 2/3 of a decoration in the same amount of time. How much more of a decoration did Tian make in a half and hour?

How much would they make in a half hour if they worked together?

Answer 1

Tian made 6/27 more of a decoration in a half hour than Marsha. Together, they would make 8/9 of a decoration in a half hour.

Step-by-step explanation:

To find out how much more of a decoration Tian made in a half hour, we need to subtract the amount of decoration Marsha made from the amount of decoration Tian made. Marsha made 2/9 of a decoration, while Tian made 2/3 of a decoration. We can subtract 2/9 from 2/3 by finding a common denominator, which is 9 in this case. When we subtract, we get 12/27 - 6/27 = 6/27.

Therefore, Tian made 6/27 more of a decoration in a half hour than Marsha.

If Marsha made 2/9 of a decoration in a half hour and Tian made 2/3 of a decoration in the same amount of time, we can find out how much they would make in a half hour if they worked together by adding the amounts they each made. 2/9 + 2/3 = 2/9 + 6/9 = 8/9.

Therefore, if they worked together, they would make 8/9 of a decoration in a half hour.

Answer 2

4/9 and 8/9

Step-by-step explanation: you have to have a common denominator so you take 3 and 9 and find what they both go into and that number is 9 so take 2/3 and times the top and bottom by 3 to get 6/9 and 2/9 by 1 to get 2/9 once you have those subtract them to get 4/9 and that's your first answer then take them and add so you get 8/9 which is your second answer